text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 4,660 |
<|im_start|>user
What is the process of larva becoming an adult called?
Answer choice: (A) parthenogenesis (B) synthesis (C) metamorphosis (D) evolution<|im_end|>
<|im_start|>assistant
<think>
</think>
After hatching, most arthropods go through one or more larval stages before reaching adulthood. The larvae may look ... | 6,786 |
<|im_start|>user
1,-3,2,-4,3,-5.... upto 2000 terms. find the average
Answer Choices: (A) 2 (B) 1 (C) 0 (D) 2 (E) -1<|im_end|>
<|im_start|>assistant
<think>
</think>
here in the question the average is asked for up to 2000 terms.
so up to 2000 terms will be
{1,-3,2,-4,3,-5,.........,1000,-1002}
so if we add them like... | 26,794 |
<|im_start|>user
A clock is started at noon. By 10 minutes past 4, the hour hand has turned through how many degrees?
Answer Choices: (A) 125° (B) 130° (C) 135° (D) 140° (E) 145°<|im_end|>
<|im_start|>assistant
<think>
</think>
The angle traced by the hour hand in 12 hrs is 360°
The angle traced by the hour han... | 26,052 |
<|im_start|>user
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the ten's digit be ... | 12,846 |
<|im_start|>user
Lucy deposited $31250 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $2550?
Answer Choices: (A) 0.5 (B) 2 (C) 12/4 (D) 12/2 (E) 6.1<|im_end|>
<|i... | 16,947 |
<|im_start|>user
If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon?
Answer Choices: (A) 8 (B) 2 (C) 3 (D) 5 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
L + A = 12 ...(1)
T + L = 4 .....(2)
L + 8 = A
Taking 1 and 3, w... | 8,447 |
<|im_start|>user
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/53 ?
Answer Choices: (A) 6 (B) 3 (C) 2 (D) 1 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
There is no certain way to solve 2 unknown with 1 equation. The best way is to look at the question and retrospect t... | 62,338 |
<|im_start|>user
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
Answer Choices: (A) 18 (B) 24 (C) 32 (D) 36 (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
x(x + 2) – (x + x + 2) = 98
The answer is E<|endoftext|> | 12,076 |
<|im_start|>user
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ?
Answer Choices: (A) 9! * ⁷P₆ (B) 6! * ⁷P₆ (C) 9! * ⁷P₆ (D) 6! * ⁷9₆ (E) 7! * ⁷P₆<|im_end|>
<|im_start|>assistant
<think>
</think>
We can initially arrange the six boys in ... | 11,960 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Alliteration is the repetition of sounds at the beginning of nearby words.
What a lucky little l... | 5,253 |
<|im_start|>user
What is the unit digit in (4137)754?
Answer Choices: (A) 6 (B) 5 (C) 9 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Unit digit in (4137)754 = Unit digit in {[(4137)4]188 x (4137)2}
=Unit digit in { 292915317923361 x 17114769 }
= (1 x 9) = 9
C
The answer is C<|endoftext|... | 89,250 |
<|im_start|>user
If the growth in production of company A from 1994 to 1995 was 25% and that from 1995 to 1996 was 60%, then what percentage growth took place from 1994 to 1996?
Answer Choices: (A) 85% (B) 75% (C) 200% (D) 100% (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Percentage growth from ... | 26,470 |
<|im_start|>user
If the value of a piece of plaza decreases by 10% while the new tax rate on the plaza represent 110% of the original tax rate, what is the effect on the taxes?
Answer Choices: (A) a - taxes increase by 10% (B) b- taxes increase by 1% (C) c- there is no change in taxes (D) d- taxes decrease by 1% (E) c-... | 28,779 |
<|im_start|>user
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare,
the raƟo of the speed of the dog to that of the hare is
Answer Choices: (A) 4:5 (B) 9:5 (C) 8:5 (D) 9:2 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Dog : Hare =... | 35,554 |
<|im_start|>user
Peter invested a certain sum of money in a simple interest bond whose value grew to $400 at the end of 3 years and to $ 600 at the end of another 2 years. What was the rate of interest in which he invested his sum?
Answer Choices: (A) 100% (B) 12.5% (C) 67% (D) 25% (E) 33%<|im_end|>
<|im_start|>assista... | 15,696 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 1,197 |
<|im_start|>user
Magnabulk Corp sells boxes holding x magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Answer Choices: (A) 100bx/m (B) bx/m (C) bx/(100m) (D) m/(bx) (E) 100m/(bx) <|im_end|>
<|im_start|>a... | 33,120 |
<|im_start|>user
What type of energy from a warm cola results in melting when it is transferred to the much colder ice?
Answer choice: (A) thermal energy (B) protective energy (C) gaseous energy (D) cyclic energy<|im_end|>
<|im_start|>assistant
<think>
</think>
How do you cool down a glass of room-temperature cola? Y... | 10,265 |
<|im_start|>user
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Answer Choices: (A) Rs. 375 (B) Rs. 400 (C) Rs. 600 (D) Rs. 800 (E) None of these<|im_end|>
<|im_start|>assistant
... | 30,905 |
<|im_start|>user
6^4− 4^4 = ?
Answer Choices: (A) 20 (B) 52 (C) 104 (D) 520 (E) 1040<|im_end|>
<|im_start|>assistant
<think>
</think>
We can write the above in terms of
(a+b) (a-b)
6^4−4^4= (6^2)2 - (4^2)2 = (6^2−4^2)*(6^2+4^2) =
(36−16)*(36+16) => 20*52 = 1040
The answer is E<|endoftext|> | 37,805 |
<|im_start|>user
Myopia is commonly called what?
Answer choice: (A) nearsightedness (B) farsightedness (C) blindness (D) scoliosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Myopia is commonly called nearsightedness. People with myopia can see nearby objects clearly, but distant objects appear blurry. Myopia oc... | 4,761 |
<|im_start|>user
If the cost price of 165 chocolates is equal to the selling price of 150 chocolates, the gain percent is
Answer Choices: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Let C.P. of each chocolate be Re. 1.
Then, C.P. of 150 chocolates = Rs. 150; S.P. of 150 chocolate... | 43,636 |
<|im_start|>user
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Answer Choices: (A) 2 2 ½ kmph (B) 6 2 ½ kmph (C) 5 2 ½ kmph (D) 2 8 ½ kmph (E) 6 5 ½ kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S =... | 56,670 |
<|im_start|>user
If a tap could fill entire tank in 20 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 16 hrs without leakage
Answer Choices: (A) 12hrs (B) 24hrs (C) 36hrs (D) 80hrs (E) 52hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
time take to fill[wit... | 40,040 |
<|im_start|>user
In the cellular process of transcription, dna code is converted into what other kind of code?
Answer choice: (A) rna (B) dpa (C) sna (D) fna<|im_end|>
<|im_start|>assistant
<think>
</think>
3.4 Protein Synthesis DNA stores the information necessary for instructing the cell to perform all of its funct... | 4,968 |
<|im_start|>user
If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 26, what is the value of r-p?
Answer Choices: (A) 20 (B) 10 (C) 32 (D) 40 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
Arithmetic mean expression for p and q:
(p+q)/2=10 ; p+q=20 ----eq1
Arithmetic mean expression... | 54,955 |
<|im_start|>user
Jack and Jill work at a hospital with 2 other workers. For an internal review, 2 of the 4 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
Answer Choices: (A) 1/3 (B) 1/6 (C) 1/15 (D) 3/8 (E) 2/3<|im_end|>
<|im_start|>assistant
<thi... | 48,275 |
<|im_start|>user
A farmer is planting a row consisting of 4 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Answer Choices: (A) 512 (B) 576 (C) 1,024 (... | 88,256 |
<|im_start|>user
For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 12, then v=
Answer Choices: (A) 15 (B) 18 (C) 21 (D) 24 (E) 27<|im_end|>
<|im_start|>assistant
<think>
</think>
(v*)* = (v - v/3) - (v - v/3) / 3
12 = 2v/3 - 2v/9 = 4v/9
v = 27
The answer is E<|endoftext|> | 11,862 |
<|im_start|>user
The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?
Answer Choices: (A) 19 (B) 35 (C) 20 (D) 32 (E) 23<|im_end|>
<|im_start|>assistant
<think>
</think>
Age of B = Age of (A + B + C) – Age of (A + C) = 29 × 3 – 32 × 2 = 87 – 64 ... | 18,102 |
<|im_start|>user
The circumference of a circle is equal to 72 pi. Find the radius of this circle.
Answer Choices: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39<|im_end|>
<|im_start|>assistant
<think>
</think>
The circumference of a circle is given by
C = 2 pi r, where r is the radius of the circle.
Substitute C by 72 pi to obta... | 63,818 |
<|im_start|>user
The speed of a train is 120 kmph. What is the distance covered by it in 10 minutes?
Answer Choices: (A) 26 kmph (B) 20 kmph (C) 28 kmph (D) 30 kmph (E) 40 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
120 * 10/60
=20 kmph
The answer is B<|endoftext|> | 2,250 |
<|im_start|>user
In a T.V. factory, an average of 65TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
Answer Choices: (A) 35 (B) 39 (C) 48 (D) 50 (E) 23<|im_e... | 31,843 |
<|im_start|>user
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 4b < bc
Answer Choices: (A) I only (B) II only (C) III only (D) II and III (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
<... | 87,003 |
<|im_start|>user
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 2 letters in its codes, and all letters can be repeated in any one code?
Answer Choices: (A) A.702 (B) B.16226 (C) C.17576 (D) D.18278 (E) E.28572<|im_end|>
<|im... | 65,904 |
<|im_start|>user
A train running at 1/3 of its own speed reached a place in 9 hours. How much time could be saved if the train would have run at its own speed?
Answer Choices: (A) 8hrs (B) 10hrs (C) 12hrs (D) 15hrs (E) 6hrs<|im_end|>
<|im_start|>assistant
<think>
</think>
time taken if run its own speed = 1/3*9 =3 hr... | 6,243 |
<|im_start|>user
In a 100 m sprint race Kelly was given a 3 m head start by Abel. If Abel lost the race to Kelly by a distance of 0.50 m, how many meters more would Abel need to overtake Kelly?
Answer Choices: (A) 20.5 (B) 18.4 (C) 17.5 (D) 19.9 (E) 21.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance Abel ... | 69,110 |
<|im_start|>user
Name the process of removing wastes from the body.
Answer choice: (A) filtration (B) depletion (C) degradation (D) excretion<|im_end|>
<|im_start|>assistant
<think>
</think>
Excretion is the process of removing wastes from the body.
The answer is D<|endoftext|> | 4,319 |
<|im_start|>user
One pack of cake mix is being stirred before being poured into two separate baking trays. The first tray can hold a certain amount of cups of the mix while the other holds 20 cups less than the first. If the total number of cups poured is 500, how many cups of batter does the second tray hold?
Answer C... | 57,071 |
<|im_start|>user
If cost of 15 eggs be 70 rupees, then find out the cost of 5 dozen eggs.
Answer Choices: (A) 276 (B) 400 (C) 500 (D) 600 (E) 700<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 15 eggs = 70 rupees
Cost of 1 egg = 70/15 = 4.6 rupees,
Cost of 5 dozens, i.e. 4.6 x 12 = 55.2 x 5 = 276
The answer... | 31,354 |
<|im_start|>user
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Answer Choices: (A) 3:1 (B) 2:1 (C) 2:5 (D) 2:3 (E) 6:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Ratio in which they sh... | 60,926 |
<|im_start|>user
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each on 1stJanuary and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Answer Choices: (A) 120 (B) 121 (C) 122 (D) 123 (E) 124<|im_end|>
<|im_start|>assistan... | 77,605 |
<|im_start|>user
Heterotrophic organisms use organic compounds, usually from other organisms, as a source of what basic element of life?
Answer choice: (A) oxygen (B) monoxide (C) carbon (D) hydrogen<|im_end|>
<|im_start|>assistant
<think>
</think>
Heterotrophic organisms use organic compounds, usually from other org... | 974 |
<|im_start|>user
A student chose a number, multiplied it by 6, then subtracted 250 from the result and got 122. What was the number he chose?
Answer Choices: (A) 59 (B) 60 (C) 61 (D) 62 (E) 63<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x be the number he chose, then
6⋅x−250=122
6x=372
x=62
The answer is D<|... | 69,860 |
<|im_start|>user
ABCD is a square. E and F are the midpoints of sides CD and BC, respectively. What is the ratio of the shaded region area to the unshaded region?
Answer Choices: (A) 1:1 (B) 2:1 (C) 3:1 (D) 5:3 (E) 8:3<|im_end|>
<|im_start|>assistant
<think>
</think>
Let's join the midpoints as shown in the figure th... | 86,185 |
<|im_start|>user
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
Answer Choices: (A) 10.5% (B) 12.5% (C)... | 4,932 |
<|im_start|>user
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Answer Choices: (A) 6620 (B) 6628 (C) 6520 (D) 6629 (E) 6609<|im_end|>
<|im_start|>assistant
<think>
</think>
A = 20000(11/10)3
= 26620
= 20000
----------
6620
The answer is A<|endoftext|> | 11,986 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Figures of speech are words or phrases that use language in a nonliteral or unusual way. They can make writing more expressive.
Verbal irony involves saying one thing but implying something very different. People often use v... | 1,419 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A force is a push or a pull.
A force can make an object start moving or stop an object that is moving. A force can also make an object speed up, slow down, or change direction.
Forces can be different sizes.
Think about tryi... | 954 |
<|im_start|>user
The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together?
Answer Choices: (A) 40 (B) 98 (C) 27 (D) 29 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</thi... | 35,227 |
<|im_start|>user
Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?
Answer... | 2,402 |
<|im_start|>user
If the range of the set of numbers {140, 80, 135, 110, 175, 145, x, 123, 136} is 105, which of the following could be x?
Answer Choices: (A) 40 (B) 50 (C) 60 (D) 70 (E) 80<|im_end|>
<|im_start|>assistant
<think>
</think>
The range of the other 8 numbers is 175-80 = 95, so x must be either the smalles... | 60,113 |
<|im_start|>user
find value for x from given equation? x + 1 = -3
Answer Choices: (A) 1 (B) x=-4 (C) -3 (D) -5 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
1 . Subtract 1 from both sides:
x + 1 - 1 = -3 - 1
2. Simplify both sides:
x = -4
B
The answer is B<|endoftext|> | 34,644 |
<|im_start|>user
How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Answer Choices: (A) 17 sec (B) 21 sec (C) 25 sec (D) 27 sec (E) 29 sec<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 120 + 150 = 270
S = 36 * 5/18 = 10 mps
T = 270/10 = 27... | 86,989 |
<|im_start|>user
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Answer Choices: (A) 8, 20, 28 (B) 16, 28, 36 (C) 20, 35, 45 (D) 18, 24, 32 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let... | 79,571 |
<|im_start|>user
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
Answer Choices: (A) Rs.4007 (B) Rs.4000 (C) Rs.4028 (D) Rs.4050 (E) Rs.4032<|im_end|>
<|im_start|>assistant
<think>
</thin... | 68,038 |
<|im_start|>user
A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Answer Choices: (A) 150 (B) 887 (C) 167 (D) 197 (E) 230<|im_end|>
<|im_start|>assistant
<think>
</think>
Length of the train be ‘X’
X + 130/15 = X + 250/20
... | 83,400 |
<|im_start|>user
How many multiples of 4 are there between 12 and 92, inclusive?
Answer Choices: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
The multiples of 4 are from 4*3 up to 4*23.
23-3+1 = 21.
The answer is A<|endoftext|> | 69,236 |
<|im_start|>user
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 3 players can be selected from each team?
Answer Choices: (A) 24563 (B) 45784 (C) 14525 (D) 35658 (E) 27225<|im_end|>
<|im_start|>assistant
<think>
</think>
Now from each gro... | 78,615 |
<|im_start|>user
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
Answer Choices: (A) 199 Marks (B) 200 Marks (C) 188 Marks (D) 188 Marks (E) 176 Marks<|im_end|>
<|im_start|>assistant
<t... | 32,835 |
<|im_start|>user
The roots of the equation ax(2)exponent) + bx + c = 0 will be reciprocal if:
Answer Choices: (A) c = ab. (B) a = bc (C) c = b (D) c = a (E) a = b<|im_end|>
<|im_start|>assistant
<think>
</think>
Let k be one of the root of the given equation.
According to the problem,
1/k will be the other root of th... | 70,324 |
<|im_start|>user
If 4 Men or 6 Women take 4 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please?
Answer Choices: (A) 1. 3/2 days (B) 2. 4/9 Days (C) 3. 9/4 days (D) 4.5/2 days (E) 5.3 days<|im_end|>
<|im_start|>assistant
<think>
</think... | 74,436 |
<|im_start|>user
Boy sells a book for Rs. 800 he gets a loss of 20 %, To gain 10%, what should be the SP?
Answer Choices: (A) 1100 (B) 450 (C) 550 (D) 590 (E) 600<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost price = 800/80 x 100 = 1000
To gain 10% = 1000 x 10/100 = 100
SP = CP + gain = 1000 + 100 = 1100
The ... | 38,026 |
<|im_start|>user
Let the function R(n) represent the product of the first n prime numbers, where n > 0. If x = R(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer
Answer Choices: (A) ii only (B) iii only (C) i and ii only (D) i and iii only... | 44,293 |
<|im_start|>user
A and B can do a piece of work in 48 days, A and C can do it in 60 days, b and c can do it 72 days. In what time can c alone do it?
Answer Choices: (A) 84 days (B) 84 ½ days (C) 85 days (D) 87 days (E) 89 days<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(A+B) 1 day work = 1/48
(B+C)... | 81,356 |
<|im_start|>user
George went to a fruit market with certain amount of money. With this money he can buy either 40 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?
Answer Choices: (A) 25 (B) 30 (C) 20 (D) 16 (E) 12<|im_end|>
<|im_start|>assistant
<think>
... | 13,420 |
<|im_start|>user
The total number of pupils in Class A is 40 out of which 18 are girls, In Class B there are 20 are boys out of total 35 and in Class C there are 16 girls out of total 32. What is the percent of total girls in all the classes.
Answer Choices: (A) 33.9% (B) 43.6% (C) 32.7% (D) 62.7% (E) 22.8%<|im_end|>
<... | 75,110 |
<|im_start|>user
Find unit digit of N when N = 63^1!+2!+...+63! + 18^1!+2!+...+18! + 37^1!+2!+...37!
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 8 (E) 0<|im_end|>
<|im_start|>assistant
<think>
</think>
3,8 and 7 have a power cycle of 4, i.e. the units digit in each case will repeat after every 4th power.
For eg : 3^1 = 3, ... | 36,692 |
<|im_start|>user
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?
Answer Choices: (A) 4 (B) 7 (C) 8 (D) 13 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Assume the sides to be x and y.
Perimeter = 2x + 2y = 42
Hence x + y ... | 3,465 |
<|im_start|>user
If a man buys 100 biscuits for $900 and sold them for $10 dollars determine his gain.
Answer Choices: (A) $ 100 (B) $ 90 (C) $ 80 (D) $110 (E) $ 115<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 100 biscuits = $90
Sold each biscuits for $10
So he sold 100 biscuits for $(100 × 10) = $1000
L... | 77,424 |
<|im_start|>user
When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 16. Which of the following is true?
Answer Choices: (A) 23x + 17y =19 (B) 17x –23y = 11 (C) 17x +23y =19 (D) 14x + 5y = 6 (E) 5x – 14y = -6<|im_end|>
<|im_... | 76,837 |
<|im_start|>user
What should you learn that allows you to recognize and avoid the dangers of specific hazards when experimenting, such as flames or broken glass?
Answer choice: (A) lab safety symbols (B) available safety symbols (C) medical safety symbols (D) first aid safety symbols<|im_end|>
<|im_start|>assistant
<th... | 658 |
<|im_start|>user
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Answer Choices: (A) 14 sec (B) 87 sec (C) 48 sec (D) 17 sec (E) 16 sec<|im_end|>
<|i... | 72,800 |
<|im_start|>user
What is the greatest prime factor of 8^12 - 2^30?
Answer Choices: (A) 2 (B) 3 (C) 5 (D) 7 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
8^12 - 2^30?
8 = 2^3
8^12 = 2^36
2^36 - 2^30 = 2^30 (2^6 - 1) = 2^30 (64 - 1) = 2^30 (63) = 2^30 (7*3*3)
hence 2,3,7 are the prime factors of 8^12 - 2^30. ... | 70,002 |
<|im_start|>user
The admission charge in a water park is $1 by adult and $0.75 by child accompanying an adult.
How much was there of child with an adult who paid in quite $3.25 to have access to the water park?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
a = # of adu... | 95,258 |
<|im_start|>user
The sector of a circle has radius of 28 cm and central angle 135o. Find its perimeter?
Answer Choices: (A) 90cm (B) 95cm (C) 100cm (D) 110cm (E) 122cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 28) + 2(28)
= 66 + 56... | 72,696 |
<|im_start|>user
Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 95 cents, and Zachary buys a pencil and an eraser for 55 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)... | 68,936 |
<|im_start|>user
Of the 420 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
Answer Choices: (A) 200 to 260 (B) 160 to 260 (C) 220 to 260 (D) 220 to 300 (E) 40 to 1... | 23,196 |
<|im_start|>user
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $211?
Answer Choices: (A) 1,108 (B) 2,100 (C) 2,108 (D) 2,124 (E) 2,180<|im_end|>
<|im_start|>assistant
<think>
</t... | 14,376 |
<|im_start|>user
3 teenagers decided to make greetings cards to sell. Their goal was to make 60 cards. Mark made 7 times more than Paul, while John made three times more than Paul. How many did Paul make?
Answer Choices: (A) 3 (B) 6 (C) 7 (D) 36 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
# of cards Paul ... | 49,673 |
<|im_start|>user
The three competitors in a race have to be randomly chosen from a group of four men and five women. How many different such trios contain at least one woman?
Answer Choices: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90<|im_end|>
<|im_start|>assistant
<think>
</think>
The total number of ways to choose three ru... | 10,043 |
<|im_start|>user
John tossed a fair coin 5 times. What is the probability that the coin landed heads up exactly twice?
Answer Choices: (A) 0.156 (B) 0.256 (C) 0.35 (D) 0.456 (E) 0.555<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability is exactly same as the cion landed tail up once. That is 5*(1/2)^5 = ... | 4,805 |
<|im_start|>user
The total age of A and B is 14 years more than the total age of B and C. C is how many year younger than A
Answer Choices: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Given that A+B = 14 + B + C
=> A ? C = 14 + B ? B = 14
=> C is younger than A by ... | 64,374 |
<|im_start|>user
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y is even
II. (x+z)/y is an integer
III. xz is even
Answer Choices: (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
x... | 27,114 |
<|im_start|>user
When two dice are rolled, what is the probability that the sum of the two numbers is 5?
Answer Choices: (A) 1/9 (B) 2/9 (C) 1/3 (D) 2/3 (E) None of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
We have 4 outcomes that satisfy the question:
1-4
2-3
3-2
4-1
the probability is (1/6*1/6... | 48,924 |
<|im_start|>user
Pipe A can fill a tank in 6 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ?
Answer Choices: (A) 2.5 hours (B) 3.3 hours (C) 3.5 hours (D) 3 hours (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Pa... | 62,872 |
<|im_start|>user
Which of the following expressions CAN be equal to 0 when x^2 −16= 0 ?
Answer Choices: (A) x^2 − 6x + 9 (B) x^2 − 4x + 3 (C) x^2 − x − 2 (D) x^2 − 7x + 6 (E) x^2 − 5x + 4<|im_end|>
<|im_start|>assistant
<think>
</think>
x^2 − 16 = 0
x=-4 or x=4
Onle one choice results in a possibility of 0 when you p... | 17,075 |
<|im_start|>user
There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no painted sides.
Answer Choices: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
The original cube is cut into 64 pieces. Removing all cubes from any ... | 49,401 |
<|im_start|>user
72519 x 9999 = ?
Answer Choices: (A) 728727481 (B) 725117481 (C) 725189201 (D) 725173920 (E) 722928481<|im_end|>
<|im_start|>assistant
<think>
</think>
B
725117481
72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481.
The answer is B<|endoftext|> | 75,638 |
<|im_start|>user
One pump drains one-half of a pond in 6 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Answer Choices: (A) 1 hour (B) 1.09 hour (C) ... | 85,755 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A fact is something that can be proved true by research or observation.
George Washington became president of the United States in 1789.
This statement is a fact. It can be proved by researching what year George Washington w... | 2,448 |
<|im_start|>user
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.7. If VP Adams doesn’t approve the proposal, then the probability that vice-pres... | 50,022 |
<|im_start|>user
A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Answer Choices: (A) 71.61 km/hr (B) 71.11 km/hr (C) 71.18 km/hr (D) 77.11 km/hr (E) 21.11 km/hr<|im_end|>
<|im_start|>assistant
<think>
</think>
Total time taken = (1... | 36,129 |
<|im_start|>user
You can throw a baseball at 9 feet per second. If that ball travels through the air for one minute, how far will the ball travel?
Answer Choices: (A) 300 feet (B) 361 feet (C) 448 feet (D) 510 feet (E) 540 feet<|im_end|>
<|im_start|>assistant
<think>
</think>
9 feet per sec x 60= 540 feet
The answer ... | 95,540 |
<|im_start|>user
A,B and C enter into partnership. A advances Rs.1200 for 4 months, B Rs. 1400 for 8 Months and C Rs.1000 for 10 months. They gain Rs.585 altogether. Find the share of B.
Answer Choices: (A) Rs.252 (B) Rs.258 (C) Rs.296 (D) Rs.256 (E) Rs.253<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer ... | 25,250 |
<|im_start|>user
By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 250 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
Answer Choices: (A) 1.46% (B) 1.93% (C) 10% (D) 15% (E) 19%<|im_end|>... | 37,545 |
<|im_start|>user
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was
Answer Choices: (A) 11 years (B) 12 years (C) 14 years (D) 15 years (E) 16 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let th... | 92,313 |
<|im_start|>user
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Answer Choices: (A) 298 m (B) 287 m (C) 298 m (D) 150 m (E) 267 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y =... | 96,240 |
<|im_start|>user
If a tire rotates at 400 revolutions per minute when the car is traveling 144km/h, what is the circumference of the tire?
Answer Choices: (A) 2 meters (B) 6 meters (C) 5 meters (D) 3 meters (E) 7 meters<|im_end|>
<|im_start|>assistant
<think>
</think>
400 rev / minute = 400 * 60 rev / 60 minutes
= 24... | 48,535 |
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